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Finding the Third Proportional to 360,508 and 834,552

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Solution

The third proportional to 360,508 and 834,552 is: 1,931,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,508 : 834,552 = 834,552 : x
  2. Step 2: Convert to fraction form
    360,508/834,552 = 834,552/x
  3. Step 3: Cross multiply
    360,508x = 834,552 × 834,552
  4. Step 4: Simplify right side
    360,508x = 696,477,040,704
  5. Step 5: Solve for x
    x = 696,477,040,704/360,508
  6. Step 6: Final answer
    x = 1,931,932.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.